Why does my mesh not move with the bones parented to it?
In Object Mode select all objects but the armature. Press Ctrl-J (join) .

Parenting with Automatic weights fails due to duplicated vertices.
With the mesh selected enter Edit Mode select all A then press the Remove Doubles button from the left panel this removes > 3700 vertices. 

You probably need to manually edit the middle part of the body because it is not connected. Or try to increase the limit when removing the doubles. 

Note that this could also be done with a Mirror Modifier set to clipping.

After parenting with automatic weights your model requires weight painting. In your case I wouldn't recommend to use automatic weights because it adds much weights you only need to remove. Better paint it all manually from scratch.